Greatest Common Factor of 1591 and 1599

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 1591, 1599 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1591 and 1599 is 1.

GCF(1591,1599) = 1

GCF of 1591 and 1599

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 1591 and 1599

GCF of 1591 and 1599 is 1

Prime Factorization of 1591


37 1591
43 43
1

Prime factors of 1591 are 37,43. Prime factorization of 1591 in exponential form is:

1591 = 371×431

Prime Factorization of 1599


3 1599
13 533
41 41
1

Prime factors of 1599 are 3,13,41. Prime factorization of 1599 in exponential form is:

1599 = 31×131×411

∴ So by taking common prime factors GCF of 1591 and 1599 is 1

Greatest Common Factor of 1591 and 1599 by matching factors method

Factors of 1591

List of positive integer factors of 1591 that divides 1591 without a remainder.

1,37,43,1591

Factors of 1599

List of positive integer factors of 1599 that divides 1599 without a remainder.

1,3,13,39,41,123,533,1599

Greatest Common Factor

We found the factors and prime factorization of 1591 and 1599. The biggest common factor number is the GCF number.
So the greatest common factor 1591 and 1599 is 1.

Also check out the Least Common Multiple of 1591 and 1599

Properties of GCF 1591 and 1599

(i) The GCF of 1591 and 1599 is associative

GCF of 1591 and 1599 = GCF of 1599 and 1591

Related Greatest Common Factor of 1591

Related Greatest Common Factor of 1599

Frequently Asked Questions on GCF of 1591 and 1599

1. What is the GCF of 1591 and 1599?

Answer: GCF of 1591 and 1599 is 1.

2. What are the Factors of 1591?

Answer: Factors of 1591 are 1, 37, 43, 1591. There are 4 integers that are factors of 1591. The greatest factor of 1591 is 1591.

3. What are the Factors of 1599?

Answer: Factors of 1599 are 1, 3, 13, 39, 41, 123, 533, 1599. There are 8 integers that are factors of 1599. The greatest factor of 1599 is 1599.

4. How to Find the GCF of 1591 and 1599?

Answer:

Greatest Common Factor of 1591 and 1599 = 1

Step 1: Find the prime factorization of 1591

1591 = 37 x 43

Step 2: Find the prime factorization of 1599

1599 = 3 x 13 x 41

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 1591 and 1599 is 1